Objective 21 is all about trying to determine wether a number is a solution to an equation. In the following example i will go through a step by step process on what a person should do to tackle this problem.
Ex) Which of the following is a solution of the equation:
10=25-x
a)16
b)15
c)9
d)35
Step 1) The first thing that should be done to solve this equation is to re-write the equation so it is x=(what ever numbers are left).
-To do so you will have to move the "x" from the right of the equal sign to the left of the equal sign
-Take "x" and add it to the right side and the left side, (remember...what you do to one side you have to do to the other) 10=25-x
+x +x
-This should cancel out the "x" on the right and only leave the "x" on the left side of the equal sign
-This will turn the equation into something like this
10+x=25
-Next you will want to take the 10 and leave only the "x" on the left side and have only the known numbers on the right
-This can be done by subtracting the 10 from the left (again...what you do to one side must be done to the other) 10+x=25
-10 -10
-The equation should now look something like this
x=25-10
Step 2) Simplify the problem or if it doesn't have to be simplified then take the number that "x" is equal to and that will be the solution to the unknown variable or "x".
-First simplify the equation
x=25-10 simplified into x=15
-The solution to "x" will then be the number on the right of the equals sign
Step 3) The final step is to then check your work to make sure it is correct.....sometimes mistakes can be made.
-To check your work all that has to be done is plug your answer into the original equation as "x" (or the unknown variable)
10=25-15 instead of "x" it will be whatever you found your solution to be
-Then just do some basic math and what you should find if your solution was correct is that both sides of the equal signs should be the
same
10=10
Those are all the steps needed in finding the solution to an equation. Easy when you know how!
Objective 21 is all about trying to determine wether a number is a solution to an equation. In the following example i will go through a step by step process on what a person should do to tackle this problem.
Ex) Which of the following is a solution of the equation:
10=25-x
a)16
b)15
c)9
d)35
Step 1) The first thing that should be done to solve this equation is to re-write the equation so it is x=(what ever numbers are left).
-To do so you will have to move the "x" from the right of the equal sign to the left of the equal sign
-Take "x" and add it to the right side and the left side, (remember...what you do to one side you have to do to the other)
10=25-x
+x +x
-This should cancel out the "x" on the right and only leave the "x" on the left side of the equal sign
-This will turn the equation into something like this
10+x=25
-Next you will want to take the 10 and leave only the "x" on the left side and have only the known numbers on the right
-This can be done by subtracting the 10 from the left (again...what you do to one side must be done to the other)
10+x=25
-10 -10
-The equation should now look something like this
x=25-10
Step 2) Simplify the problem or if it doesn't have to be simplified then take the number that "x" is equal to and that will be the solution to the unknown variable or "x".
-First simplify the equation
x=25-10 simplified into x=15
-The solution to "x" will then be the number on the right of the equals sign
Step 3) The final step is to then check your work to make sure it is correct.....sometimes mistakes can be made.
-To check your work all that has to be done is plug your answer into the original equation as "x" (or the unknown variable)
10=25-15 instead of "x" it will be whatever you found your solution to be
-Then just do some basic math and what you should find if your solution was correct is that both sides of the equal signs should be the
same
10=10
Those are all the steps needed in finding the solution to an equation. Easy when you know how!